Implementing Search with Laravel

I was trying to implement search with laravel where i want to submit the form with post method and trying to show the query like this .

abc.com/search/q=res

Here is my routes :

Route::post('productSearch','ProductController@productSearch');
  Route::get('search/q={query}','ProductController@searchProduct');

public function productSearch(Request $request)
    {
        $query = $request->name; 
        return redirect('search/q='.$query);
    }

    public  function searchProduct(Request $request)
    {
        $name = $request->query;
        $products = DB::table('products')           
            ->select('products.*')              
            ->where('products.name' , 'like', '%'.$name.'%') //Error in this line   

        return view('product',compact('products'));
    }

But the problem is it shows the following Error

Object of class Symfony\Component\HttpFoundation\ParameterBag could not be converted to string

How do i implement search where in URL in shows in this way?

via Chebli Mohamed